Question

Four students wrote statements about cosecant, secant, and cotangent values as shown below.

Answer 1

Answer:

c Kayla is answer

Step-by-step explanation:

Since sine lies between-1 and +1 we have cosecant, reciprocal of sin lying always outside -1 and 1.

i.e. |cosec x|>1

For acute angle sine, cos , tan are positive

So cosec x >1 and similarly since cos x <1, sec x >1 always

But tanx varies between 0 and infinity for acute angles

Hence cot can take values from 0 to infinity

Hence the correct answer is that of Kayla

The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

Answer 2

c. kayla is the answer